What is x^2+14x+12y+y^2=-21 ?

The solution to x^2+14x+12y+y^2=-21 is Circle with (a,b)=(-7,-6),r=8

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x^2+14x+12y+y^2=-21

x^{2} + 14 x + 12 y + y^{2} = - 21

(a, b) = (- 7, - 6), r = 8

Solution steps

x^{2} + 14 x + 12 y + y^{2} = - 21

Rewrite

x^{2} + 14 x + 12 y + y^{2} = - 21

in the form of the standard circle equation

(x - (- 7))^{2} + (y - (- 6))^{2} = 8^{2}

Therefore the circle properties are:

(a, b) = (- 7, - 6), r = 8

What is x^2+14x+12y+y^2=-21 ?
The solution to x^2+14x+12y+y^2=-21 is Circle with (a,b)=(-7,-6),r=8